Codimension 2
From Mathematics
(→The dilogarithm) |
(→The dilogarithm) |
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* Introduction of the dilogarithm via integral formula and power series <ref name="Zag07"/> | * Introduction of the dilogarithm via integral formula and power series <ref name="Zag07"/> | ||
* Multivalence (dependence of paths of integration) and how this problem is solved by considering the values as a cosets of certain unipotent matrices. Present the ideas from <ref name="Ram82"/> but restricted to the dilogarithm. (A theoretical, more modern explanation in terms of mixed Hodge structures can be found in <ref name="Blo91"/> but this should not be presented this way (yet).) | * Multivalence (dependence of paths of integration) and how this problem is solved by considering the values as a cosets of certain unipotent matrices. Present the ideas from <ref name="Ram82"/> but restricted to the dilogarithm. (A theoretical, more modern explanation in terms of mixed Hodge structures can be found in <ref name="Blo91"/> but this should not be presented this way (yet).) | ||
+ | * Introduce the Bloch-Wigner dilogarithm (a single valued non-analytic variant of the dilog) | ||
* The five term relation and special values | * The five term relation and special values | ||
** Present Theorem 7.4.4 from <ref name="Blo10"/> and its proof | ** Present Theorem 7.4.4 from <ref name="Blo10"/> and its proof |